https://file.aiquickdraw.com/mathbot/file/1726198505552eecidv0p.jpg

The mathematical expression shown in the image is:

\[
\frac{42}{3} \div \frac{11}{2} \div \frac{12}{3}
\]

Let's break this down step by step:

### Step 1: Simplify each fraction
- \(\frac{42}{3} = 14\)
- \(\frac{11}{2}\) remains as is.
- \(\frac{12}{3} = 4\)

Now the expression becomes:

\[
14 \div \frac{11}{2} \div 4
\]

### Step 2: Handle the first division \(14 \div \frac{11}{2}\)
Dividing by a fraction is the same as multiplying by its reciprocal. So:

\[
14 \div \frac{11}{2} = 14 \times \frac{2}{11} = \frac{28}{11}
\]

### Step 3: Now divide \(\frac{28}{11} \div 4\)
Again, dividing by 4 is equivalent to multiplying by \(\frac{1}{4}\). Thus:

\[
\frac{28}{11} \div 4 = \frac{28}{11} \times \frac{1}{4} = \frac{28 \times 1}{11 \times 4} = \frac{28}{44}
\]

### Step 4: Simplify \(\frac{28}{44}\)
Both 28 and 44 can be divided by 4:

\[
\frac{28}{44} = \frac{7}{11}
\]

Thus, the final answer is:

\[
\boxed{\frac{7}{11}}
\]

Would you like further explanation or any details on the steps?

Here are 5 related questions to consider:
1. How do you simplify complex fractions step by step?
2. What is the process for dividing by fractions?
3. How do you simplify a fraction to its lowest terms?
4. Can you explain why dividing by a fraction is the same as multiplying by its reciprocal?
5. How do you handle operations involving both multiplication and division with fractions?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the divisor!

Solve the mathematical expression shown in the image: 42/3 ÷ 11/2 ÷ 12/3

Learn how to solve the complex fraction division problem (42/3 ÷ 11/2 ÷ 12/3) step by step. This problem involves key concepts such as dividing fractions using reciprocals and simplifying the result. Perfect for students in Grade 6-8.

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